34344002133301 has 32 divisors (see below), whose sum is σ = 40836141296640. Its totient is φ = 28269313652736.

The previous prime is 34344002133269. The next prime is 34344002133313. The reversal of 34344002133301 is 10333120044343.

It is not a de Polignac number, because 34344002133301 - 2⁵ = 34344002133269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34344002133361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56517981 + ... + 57122413.

It is an arithmetic number, because the mean of its divisors is an integer number (1276129415520).

Almost surely, 2^{34344002133301} is an apocalyptic number.

It is an amenable number.

34344002133301 is a deficient number, since it is larger than the sum of its proper divisors (6492139163339).

34344002133301 is a wasteful number, since it uses less digits than its factorization.

34344002133301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607333.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 34344002133301 its reverse (10333120044343), we get a palindrome (44677122177644).

The spelling of 34344002133301 in words is "thirty-four trillion, three hundred forty-four billion, two million, one hundred thirty-three thousand, three hundred one".